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Borsuk’s antipodal fixed points theorems for compact or condensing set-valued maps
- Source :
- Advances in Nonlinear Analysis, Advances in Nonlinear Analysis, De Gruyter, 2016, 7 (3), pp.307-311. ⟨10.1515/anona-2016-0128⟩, Advances in Nonlinear Analysis, Vol 7, Iss 3, Pp 307-311 (2018)
- Publication Year :
- 2016
- Publisher :
- Walter de Gruyter GmbH, 2016.
-
Abstract
- We give a generalized version of the well-known Borsuk’s antipodal fixed point theorem for a large class of antipodally approachable condensing or compact set-valued maps defined on closed subsets of locally convex topological vector spaces. These results contain corresponding results obtained in the literature for compact set-valued maps with convex values.
- Subjects :
- Large class
Pure mathematics
54c60
Fixed-point theorem
Antipodal point
Fixed point
measure of non-compactness
01 natural sciences
Set (abstract data type)
Locally convex topological vector space
approximative selection
[MATH]Mathematics [math]
0101 mathematics
condensing set-valued maps
47h10
Mathematics
Measure of non-compactness
Discrete mathematics
QA299.6-433
010102 general mathematics
Regular polygon
antipodally approximable set-valued maps
[SHS.ECO]Humanities and Social Sciences/Economics and Finance
010101 applied mathematics
MSC 2010: 47H10
54C60
Analysis
Borsuk’s antipodal fixed point theorem
compact set-valued maps
Subjects
Details
- ISSN :
- 2191950X and 21919496
- Volume :
- 7
- Database :
- OpenAIRE
- Journal :
- Advances in Nonlinear Analysis
- Accession number :
- edsair.doi.dedup.....5be42ba249af54796e4fc3b6acc39693
- Full Text :
- https://doi.org/10.1515/anona-2016-0128